Classification of Singularities for Blowing up Solutions in Higher Dimensions

1993 ◽  
Vol 338 (1) ◽  
pp. 441 ◽  
Author(s):  
J. J. L. Velazquez
2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nishant Gupta ◽  
Nemani V. Suryanarayana

Abstract We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.


2008 ◽  
Vol 60 (1) ◽  
pp. 64-87 ◽  
Author(s):  
Daniel Daigle

AbstractWe classify linear weighted graphs up to the blowing-up and blowing-down operations which are relevant for the study of algebraic surfaces.


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